The wheel consists of a 5.0-kg rim of radius r 260 mm with hub and spokes of negligible mass. The wheel ismounted on the 4.8-kg yoke OA with mass center at G and with a radius of gyration about O of 400 mm. If theassembly is released from rest in the horizontal position shown and if the wheel rolls on the circular surfacewithout slipping, compute the velocity of point A when it reaches A.Assume d 360 mm, R 575 mm.GAnswer: VAm/s

Show the diagram showing a wheel mounted on a yoke rolling on a circular surface.

Answered: The wheel consists of a 5.0-kg rim of…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The wheel has mass m and centroidal radius of gyration (k bar) and rolls without slipping up the incline under action force P. The force is applied to the end of a cord which is wrapped securely around the inner hub of the wheel as shown. Determine the speed Vo of the wheel center O after the wheel center has traveled a distance d up the incline. The wheel is at rest when the force P is first applied.
The 60-kg unbalanced wheel rolls without slipping on the horizontalplane. The radius of gyration of the wheel about its mass center G is 240 mm.Calculate the kinetic energy of the wheel in the position shown, where its angular velocity is ω=2 rad/s.
The mass of gear A is 25 kg and its centroidal radius of gyration is 105 mm. The mass of gear B is 13 kg and its centroidal radius of gyration is 85 mm. Calculate the angular acceleration of gear B when a torque of 16 N·m is applied to the shaft of gear A. Neglect friction. The angular acceleration is positive if counterclockwise, negative if clockwise..
The rod AB is non-uniform with a radius of gyration of 4.00 ft with respect to a horizontal axis through the center of mass G. It weighs 161 lb. At the moment shown the rod has a counterclockwise angular velocity of 3.00 rad/sec, and the spring is compressed by 2.00 ft. Calculate the force constant of the spring that will reduce the angular velocity of the rod to 1.50 rad/sec when it reaches the horizontal position. Assume the blocks A and B are weightless.
The 50-kg wheel has a radius of gyration about its center of gravity G of kG = 300mm. If it rolls without slipping, determine its angular velocity when it has rotated clockwise 90° from the position shown. The spring AB has a stiffness k = 200 N/m and an unstretched length of 400 mm. The wheel is released from rest.
A small grinding wheel is attached to the shaft of an electric motor that has a rated speed of 3600 rpm. When the power is turned off, the unit coasts to rest in 70 s. The grinding wheel and rotor have a combined weight of 6 lb and a combined radius of gyration of 2 in. Determine the average magnitude of the couple due to kinetic friction in the bearings of the motor.
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Each of the two links has a mass of 2 kg and a centroidal radius of gyration of 60mm. The slider at B has a mass of 3 kg and moves freely in the vertical guide. The springhas a stiffness of 6 kN/m. If a constant torque M = 20 N∙m is applied to link OA throughits shaft at O starting from the rest position at θ = 45°, determine the angular velocity ofOA when θ = 0.
The 100-kgkg spool is resting on the inclined surface for which the coefficient of kinetic friction is μkμkmu = 0.1. The radius of gyration about the mass center is kGkGk_G = 0.26 mm. Determine the angular velocity of the spool, measured clockwise, when ttt = 6 ss after it is released from rest.
The slotted circular disk whose mass is 4.9 kg has a radius of gyration about O of 230 mm. The disk carries the four steel balls, each of mass 0.17 kg and located as shown, and rotates freely about a vertical axis through O with an angular speed of 164 rev/min. Each of the small balls is held in place by a latching device not shown. If the balls are released while the disk is rotating and come to rest relative to the disk at the outer ends of the slots, compute the new angular speed N of the disk. Also find the magnitude |ΔE| of the energy loss due to the impact of the balls with the ends of the slots. Neglect the diameter of the balls and discuss this approximation.
The disk shown in the figure has a mass of 15 kg and is supported on point C of its periphery. The disc is released from the rest when theta = 30 ° and impacts with the wall when theta = 0 °. Calculate the reactions at support C, the angular acceleration of the disc immediately after it has been dropped from rest.
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